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论变时滞高阶细胞神经网络模型的反周期解 被引量：1

On anti-periodic solutions for high-order cellular neural networks model with time-varying delays
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摘要 研究了具有变时滞的高阶细胞神经网络模型,得到了其反周期解存在性和指数稳定性的一类新的充分条件,并通过数值仿真图对实例进行了直观地说明。 An anti-periodic solutions for high-order cellular neural networks with time-varying delays is studied. The new sufficient conditions for the existence and exponential stability of anti-periodic solutions are obtained. The results are illustrated by a numerical simulation example.
作者 黄祖达 彭乐群 徐敏
机构地区 湖南文理学院数学与计算科学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2012年第10期121-126,共6页 Journal of Shandong University(Natural Science)
基金 教育部重点资助项目(2010 151) 湖南省高等学校自然科学基金项目(11C0916)
关键词 变时滞 细胞神经网络 反周期解 指数稳定性 time-varying delays cellular neural networks anti-periodic solution expontial stability
分类号 O175.15 [理学—基础数学]
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参考文献14

  • 1CAO Jinde, WANG Jun. Global exponential stability and periodicity of recurrent neural networks with time delays[J]. IEEE Trans Ciruits Systems, 2005, 52 ( 5 ) :920-931.
  • 2ZHANG Chen, ZHAO Donghua, JIONG Ruan. Dynamic analysis of high order Cohen-Grossberg neural networks with time delay[J]. Chaos, Solutions and Fractals, 2007, 32. 1538-1546.
  • 3LOU Xueyang, CUI Baotong. Novel global stability criterial for high-order Hopfield-type neural networks with time-varying delays[J]. Math Anal Appl, 2007, 330 : 144-158.
  • 4WU Chen, RUAN Jiong, LIN Wei. On the existence and stability of the periodic solution in the Cohen-Grossbeery neural net- work with time delzy and high-order terms [ J ]. Applied Mathematics and Computation, 2006, 177 (1) :194-210.
  • 5XIONG Hong, YAN Keming, WANG Baiyan. Existence and global exponential stability of periodic solution for delayed high- order Hopfield-type neural network[J]. Physics Letters A, 2006, 52:341-349.
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  • 7XU Bingji, LIU Xuezhong, LIAO Xiaoxin. Gobal exponential stability of high order Hopfield type neural networks with time delays[J]. Comput Math Appl, 2003, 45 : 1729-1737.
  • 8ZENG Zhigang, WANG Jun. Improved conditions for global exponential stability of recurrent neural networks with time-var- ying delays [ J ]. IEEE Trans Neural New, 2006, 17 (3) :623-635.
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山东大学学报（理学版）
2012年 第10期

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